Five girls in class 701 play a sport each week. Stephanie, Fiona and Juanita only play basketball. Sarah and Melanie only play softball. Which Venn diagram best represents this information?
3b. Five girls in class 702 play sport each week. Genisis plays softball and basketball; Nichole and Milka only play basketball; Maria and Jennifer only play softball. Which Venn diagram best represents this information?
3c Which description best suits the Venn diagram? Girls playing Basketball Softball A. Only three girls play both basketball and softball B.Only four girls play basketball C.Only two girls play softball D.Three girls play no sport.
3d. Seven girls in Ms. Bauman’s class particpate in at least one school activity. Mary and Shelly play basketball only; Shawna and Layla sing only; and Trina, Stephanie, and Kim play basketball and sing. Which Venn diagram correctly represents the data? Test Item
4a. 6.02 ´ 10 5 is a number written in scientific notation. Which of the following best describes this number? A.602 ´ 100,000 B.6.02 ´ 100,000 C.6.02 ¸ 100,000 D.602 ¸ 100,000
4b. 64,000 written in scientific notation is A.0.64 ´ 10 4 B.6.4 ´ 10 4 C.64 ´ 10 3 D.64 ´ 10 3
4c If you write 2,500,000 in scientific notation, the exponent for the ten (10) would be? A.2 B.4 C.6 D.8
Test item 4d Last year 9.9 × 10 5 people attended the New York State Fair. What is this number expressed in standard form? A.9,900 B.99,000 C.990,000 D.9,900,000
5a What shape is the base of this cylinder? A.rectangle B.square C.triangle D.circle
5b If you cut this cardboard rectangular prism along its edges and placed the shapes flat on the desk, what shapes would you most likely have? A.4 squares B.4 rectangles C.6 squares D.6 rectangles
5c What shape is the base of this cube? A.square B.rectangle C.circle D.triangle.
Test question 5d A pyramid is shown below What shape is the base of the pyramid? A.pentagon B.square C.triangle D.trapezoid
6a José has two bags. One bag contains three objects – a red pen, a blue pen and a black pen. The other bag contains three cards, one has an “X” written on it, one has a “Y” written one it and the third card has a “Z” written on it. If José selects one object from each bag, which selection below best represents all the combinations that he could chose? A.Red pen and card with “X” Blue pen and card with “Y” Black pen and card with “X” B.Red pen and card “X” or card “Y” or card “Z” Blue pen and card “X” or card “Y” or card “Z” Black pen and card “X” or card “Y” or card “Z” C. Red pen with blue pen Red pen with black pen Blue pen with black pen D. Card “X” with card “Y” Card “X” with card “Z” Card “Y” with card “Z”
6b José has a white shirt and a blue shirt. He has a brown pair of pants and a black pair of pants. How many combinations of shirts and pants can he make from the two shirts and two pairs of pants? A.1C. 3 B.2D. 4
6c José has two bags, one has shapes in it and the other has colored buttons. The three shapes are a square, a triangle and a circle. The buttons are colored red, blue and yellow. If José draws a shape from one bag and a colored button from the other bag, how many different combinations of shapes and buttons can he have? A.2C. 6 B.3D. 9
Test item 6d Tonysha has two bags. Each bag has three objects in it. The first bag has one dime, one nickel, and one penny. The second bag has one red button, one blue button, and one yellow button. Tonysha picks one object from each bag. How many possible combinations of two objects can she pick ? A. 3 B. 6 C. 9 D. 15
7a A rational number can be written in the form: or a/b (where b can equal 1 or any other number except zero: b ≠ 0) The rational number is like a ratio of a to b, hence the term “rational.” Which of the following is not a rational number?
7b The square root of a non-perfect square is called an irrational because it cannot be expressed as a ratio of a/b. Which of the following is an irrational number?
7d. Which number is an irrational number? test item
8a. 10 inches is a measure of which of the following? A.capacity (or volume) B.mass C.weight D.distance
8b Which of the following is not correct? A.cup, quart and gallons are measures of capacity B.liters are a measure of capacity C.meter, kilometer, centimeter are measures of weight D.ounce, pound, ton are measures of weight
8c Which is not a measure of distance? A.ounces B.millimeters C.meter D.yards
Test item 8. Which tool and technique is used to measure the surface area of an object?
9a Eric has a bag with 12 coins. He has 2 quarters, 4 dimes and 6 nickels in the bag. If he draws one coin at random, which of the following best describes the probability of drawing each type of coin?
9b Eric has a bag with 6 coins. He has 3 quarters and 3 dimes in the bag. Eric draws a coin at random and does not replace it. He then draws another coin. Which expression below best describes the chance that the first coin he draws is a dime and the second coin is also a dime?
9c Eric has a bag with 12 coins. He has 2 quaters, 4 dimes and 6 nickels in the bag. Eric draws out a coin and does not replace it. He draws out another coin. What are the chances that Eric will draw out a nickel first and then a dime?
Test item 9d Eric’s mother wants to help him with his math homework. She puts 24 cookies in a cookie jar. Twelve of the cookies are chocolate chip, 8 are oatmeal, and 4 are peanut butter. She then has Eric select a cookie from the jar without looking. Next, without replacing the first cookie, Eric picks a second cookie without looking in the jar. What is the probability Eric will pick an oatmeal cookie first and a chocolate chip cookie second?
Test Item 10d Simplilfy the expression below 3 3 – 2 2 A.1 B.5 C.23 D.25
11 a There are three points in grid below. Which statement is not true? A.Two points have the same x coordinate. B.One point lies on the origin C.Two points have the same y coordinate D.One point lies in the second quadrant
11b. The coordinates for letter A are: A. x is 3y is -2 B. x is -3y is 2 C. x is 2y is -3 D. x is -2y is 3
11c. The vertices of the rectangle formed by points A, B, C and D are: A.( 2,1 ) ( -3,-2 ) ( 3,3 ) (1,-3) B.(1,2) (-3, 2) (-3,-3) (1,-3) C.( -2,1 ) ( 3,1 ) ( -2,2 ) (-3,1) D.( -2,-1 ) ( -3,1 ) ( 2,2 ) (3,3)
Test Question 11 d. Which figure below represents a rectangle with vertices (3,2), (-1,2), (-1,-1), and (3, -1)?
12a Maria started the year well by doing all her homework. However, recently she has not been completing her homework. The results of her 9 homeworks this year are: 19, 18, 16, 18, 16, 11, 11, 14, 11 The minimum and maximum for the data is: A. Minimum – 11maximum – 19 B. Minimum – 14maximum – 11 C. Minimum – 16maximum – 14 D. Minimum – 14maximum – 19
12 b. Maria received the following scores on her 6 recent homework assignments. 7, 4, 6, 7, 6, 9 Which of the following show how to calculate the range of the data? A.9 – 7 B.9 – 4 C.9 + 7 D.9 + 4
12c The results for Maria’s homework assignments are: 6, 8, 3, 9, 8 The Range is: A.3 B.6 C.8 D.9
Test item 12 d. Jacob received the following scroes on his last five science tests. 81, 73, 80, 94, 97 What is the range of Jacob’s scores for the five science tests? A.16 B.24 C.81 D.85
13a A list of all the factors of 10 is: A.1, 2, 5, 10 B.1, 5 C.1, 10 D.10, 20, 50, 100
13b. A common factor of 10 and 12 is: A.2 B.4 C.6 D.10
13c The greatest common factor of 12, 18 and 30 is: A.2 B.3 C.6 D.12
test question 13 d. What is the greatest common factor of 12, 16 and 20? A.2 B.4 C.6 D.12
1 liter = 1,000 milliliters 14a. How many milliliters in 2 liters? A.0.02 B.0.002 C.200 D.2,000
1 liter = 1,000 milliliters 14b. 4,500 milliliters is how many liters? A. 4,500 = 4.5 1,000 B. 4,500 ×1,000 = 4,500,000 C. 4,500 = 45 100 D. 4,500 × 100 = 450,000
1 liter = 1,000 milliliters 14c. How many milliliters in 0.2 liters? A.0.2 B.2 C.20 D.200
Test item 1 liter = 1,000 milliliters 14d. How many milliliters are equal to 0.7 liters? A. 0.007 B. 0.07 C. 70 D. 700
16a. On Saturday Malik purchased 2 CDs. He bought the same number of CDs on Sunday. He paid $28 for all the CDs and they each cost the same amount. How much did each CD cost? A.$4 B.$7 C.$14 D.$28
16b. Malik purchased some CDs and a DVD. The DVD cost $10. He paid $26 for the DVD and the CDs. If the CDs cost $2 each, how many did he buy? A.4 B.8 C.9 D.16
16c. On Saturday Malik bought a DVD. On Sunday he bought another DVD of the same value. On Monday he bought a CD for $4. If he spent $20 total, how much did each DVD cost? A.$4 B.$8 C.$16 D.$20
Test Item 16d On Friday, ExtremeView Helicopter Tours flew 34 times. They flew the same number of times on Saturday as they did on Sunday. The total number of times they flew for the three days was 118. How many times did Extreme View Helicopter Tours fly on Saturday? A. 34 B. 42 C. 59 D. 84
17a. What is “6 less than a number, n,” written as an algebraic expression? A.n - 6 B.6 - n C.6 + n D.6n
17b What is “the quotient of a number n, and 8” written as an algebraic expression? A.n 8 B.n over 8 C.n – 8 D.8n
17c. What is “3 less than the quotient of a number, n, and 6” writen as an algebraic expression?
Test items 17d. What is “two more than the quotient of six and a number, n,” written as an algebraic expression?
18a. A spinner is divided into 5 equal sections numbered 1 through 5. If you spin it, what would be the chance that it will stop on the number 5? A 1 5 B 2 5 C 3 5 D 4 5
18b. A spinner is divided into 5 equal sections numbered 1 through 5. What would the probability of the spinner stopping on a 1 or 2? A 1 5 B 2 5 C 3 5 D 4 5
18c. A spinner is divided into 5 equal sections numbered 1 through 5. Predict how many times you would expect the spinner to stop on an even number if it you spin it 100 times. A.2 B.10 C.20 D.40
test item 18d. A spinner is divided into five equal sections numbered 1 through 5. Predict how many times out of 240 spins the spinner is most likely to stop on an odd number. A.80 B.96 C.144 D.192
19a 19a Jamel’s family is renovating their apartment. Tiles need to be glued to the bathroom floor. The bath room is a square room and one side measures 12 feet. What is the area of the floor? A.12 square feet B.24 square feet C.48 square feet D.144 square feet
19b. Sarah’s family are also having new tiles in their bathroom. The bathroom is a square room and the side is 9 feet. What is the area of the floor? A.9 square feet B.18 square feet C.38 square feet D.81 square feet
19c Juanita’s family have to have new tiles glued on their bathroom floor. The bathhroom is a square room. The person selling the tiles stated that they needed tiles to cover 100 square feet. What is the length of the side of the bathroom? A.10 feet B.20 feet C.40 feet D.100 feet
Test prep 19d. Sarah builds a doll house. The floor of the doll house is square. Sarah covers the floor with 144 square inches of tile. How long, in inches, is one side of the doll house floor? A.12 B.38 C.72 D.144
20a. Kevin is responsible for a circular garden bed in front of his apartment building. If the radius of the garden is 10 feet, what would be the best expression to find the area of the garden? A.π 10 square feet B.π 20 square feet C.π 100 square feet D.π 200 square feet
20b. Kevin is responsible for a circular garden bed in front of his apartment building. If the area of the garden is 12 2 π square feet, what is the radius of the garden? A.6 feet B.12 feet C.24 feet D.144 feet
20c 20c. Kevin is responsible for a circular garden bed in front of his apartment building. If the area of the garden is 9π square feet, what is the radius? A. 1 / 3 feet B.3 feet C.9 feet D.27 feet
test item 20d. Kevin designs a sprinkler system for his yard. One rotation of the sprinkler waters a circle with an area of 225 π square feet. What is the radius, r, of the circle the rotating sprinkler waters? A.15 feet B.25 feet C.30 feet D.47 feet
The owner of an ice cream store surveyed her customers to ascertain what were popular flavors. The summary of the survey is shown in the table.
21b. What fraciton of the people who participated in the survey like vanilla? The owner of an ice cream store surveyed her customers to ascertain what were popular flavors. The summary of the survey is shown in the table.
21c. Which graph best represents the data? Test Item
22a 22 a What is 8,460 written in scientific notation? A.8.46 × 10 3 B.846 × 10 4 C.8.46 × 10 -3 D.846 × 10 -4
22b. What is 0.0062 written in scientific notation? A.6.2 × 10 3 B.62 × 10 4 C.6.2 × 10 -3 D.62 × 10 -4
22c. Which is the greatest value? A.5.2 × 10 -3 B.5.2 × 10 -4 C.5.2 × 10 -5 D.5.2 × 10 -6
Test Item 22d. Which number has the greatest value? A.6.7 x10 4 B.7.6 x10 -4 C.8.9 x 10 3 D.9.8 x 10 -3
23a. To determine how many pounds in 48 ounces, which expression would be most appropriate? A.16 × 48 B.48 × 16 C.16 ÷ 48 D.48 ÷ 16 1 pound = 16 ounces (symbolically: 1 lb = 16 oz)
1 pound = 16 ounces (symbolically: 1 lb = 16 oz) 23b 23b How many pounds in 160 ounces? A.0.1 B.1 C.10 D.100
23c. How many pounds in 40 ounces? 1 pound = 16 ounces (symbolically: 1 lb = 16 oz)
Test item 23d. How many pounds is 24 ounces? 1 pound = 16 ounces A.1 B.1.5 C.2 D.2.5
24a. The four points, A, B, C and D above form a rectangle. How many units long is the longest side of the rectangle? A.2 B.3 C4 D.5
24b. The four points form a rectangle. How many units long is the short side of the rectangle? A.2 B.3 C.4 D.5
24c. The four points form a rectangle. What is the area in square units of the rectangle formed by the four points? A.9 B.18 C.20 D.40
24d. What is the area of the rectangle drawn on the coordinate plane shown below? Test Item A.21 square units B.24 square units C.28 square units D.32 square units
The table below records Lester’s results for 3 of his classes. 25a. What was the average score for Lester’s Math tests? A.80 B.85 C.90 D.95
The table below records Lester’s results for 3 of his classes. 25b. What was the average score for Lester’s ELA tests? A.75 B.80 C.85 D.240
The table below records Lester’s results for 3 of his classes. 25c. Lester predicted that the average score for his ELA, Math and Science scores would be higher than 70%. How accurate was Lester’s prediction? A.It was lower than he predicted. B.It was higher than he predicted. C.It was equal to what he predicted. D.From the data in the table, it is not possible to determine if his prediction was correct or incorrect.
25d. Jesse predicted that his batting average after the first 5 games of the season would be higher than.300. The table below records Jesse’s hits and times at bat during the first 5 games. Batting average is equal to hits divided by times at bat. JESSE’S HITTING DURING HIS FIRST FIVE GAMES How accurate was Jesse’s prediction concerning his batting average? A.It was lower than he predicted. B.It was higher than he predicted. C.It was equal to his predictions D.The batting average cannot be determined. Test item
26a What is not a common mulitple of 4 and 5? A.10 B.20 C.40 D.60
26b. What is the least, or smallest, multiple of 4 and 5? A.10 B.20 C.40 D.60
26c. What is the least common multiple of 4, 6 and 8? A.16 B.24 C.32 D.48
Test item 26d. What is the least common multiple of 4, 5 and 6? A.30 B.60 C.690 D.120
The owner of a sunglasses store created a table to examine how many sunglasses she sold in December 2005. She sells 4 different types of sunglasses: Brown, Yellow, Green and Gray. The pictograph below shows the sales of sunglasses for December 2005. 27a. How many Brown sunglasses were sold in December? A.20 B.30 C.40 D.50
The owner of a sunglasses store created a table to examine how many sunglasses she sold in December 2005. She sells 4 different types of sunglasses: Brown, Yellow, Green and Gray. The pictograph below shows the sales of sunglasses for December 2005.
27c. Which color of sunglasses sold twice as many of another type of sunglasses? A.Brown B.Yellow C.Green D.Gray Test item
28a. In the expression below, what is the value of √25 ? √25 (8 – 2 2 ) A.1 B.5 C.25 D.225
28b. In the expression below, what is the value of (8 – 2 2 )? √25 (8 – 2 2 ) A.1 B.2 C.4 D.8
28d. Simplify the expression below. (62 – 24) √16 A.16 B.64 C.80 D. 108
29a. Which of the following is a unit for measuring weight? A.pound B.cup C.quart D.yard
29b. Which of the followng is a metric unit of mass? A.inch B.ounce C.milliliter D.kilogram
29c. Which of the following is a customary unit for measuring mass? A.kilogram B.quarts C.ton D.pint s
Which of the following is a metric unit of mass? A.meter B.liter C.pound D.gram
Genesis is making icecreams cones. She has 3 flavours of icecream – strawberry, chocolate and vanilla. She has 2 types of cones- sugar and waffle. What is the total number of combinations of icecreams that she can make from the 3 flavors and 2 types of cones? A. 3 B. 5 C. 6 D. 9
30b. Genesis is making icecreams cones. She has 3 flavours – strawberry, chocolate and vanilla. She has 2 types of cones- sugar and waffle. Now Genesis adds a topping, but she uses only 1 topping on each icecream. The toppings are: sprinkles, nuts or M&Ms. How mamy different types of combinations can she make? (Or: How many different ways can she combine the 3 flavors, 2 types of cones and 3 toppings?) A.3 B.8 C.9 D.18
30c. Jamie has 4 shirts he likes. They are each a different color: blue, black, green and red. He has 4 pairs of pants that he wears. They are black, brown, green and blue jeans. He has only 2 belts that he wears. How many different combinations of shirt, belt and pants can he make with his clothes? A.10 B.20 C.24 D.32
30d. A shipping company uses baggage tags with 3-letter city codes. The first and third letters of each code are always consonants and the middle letter is always a vowel. The English language uses 21 consonants and 5 vowels. How many different combinations of tag codes are possible? A.105 B.441 C.1,638 D.2,205 Test item